The semigroup of non left zero divisors in an algebra, infinite powers of matrices and related matters
type: Item
instance of: scholarly article
title: The semigroup of non left zero divisors in an algebra, infinite powers of matrices and related matters
zbMATH Open document ID: 0564.16016
DOI: 10.1216/RMJ-1984-14-4-923
published in: Rocky Mountain Journal of Mathematics
publication date: 1984-01-01T00:00:00Z
review text: The author is concerned with rings having one-sided zerodivisors, e.g. the set of all \(n\times n\) matrices over a field with zero last row. She also reports on a paper (not quoted) in which complex matrices C satisfying \(C^ n\to 0\) are characterized by the existence of a positive-definite matrix H such that \(H-CHC^*>0\); this is related to Lyapunov's theorem on stable matrices.
Mathematics Subject Classification ID: 16S50
Mathematics Subject Classification ID: 15A30
Mathematics Subject Classification ID: 20M20
zbMATH DE Number: 3899097
zbMATH Keywords: one-sided zerodivisors
zbMATH Keywords: complex matrices
zbMATH Keywords: positive-definite matrix
zbMATH Keywords: Lyapunov's theorem on stable matrices
author: O. Taussky Todd
reviewed by: Paul M. Cohn
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3899097